http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Exploring, Investigating and Discovering in Mathematics
The book presents creative problem solving techniques with particular emphasis on how to develop and train inventive skills to students. It presents an array of 24 carefully selected themes from elementary mathematics: arithmetic, algebra, geometry, analysis as well as applied mathematics. The main goal of this book is to offer a systematic illustration of how to organise the natural transition from the problem solving activity towards exploring, investigating, and discovering new facts and results. The target audience are mainly students, young mathematicians, and teachers.
From the contents: 24 Themes, some of them are: Catching Problems -- Sequences of Numbers Simultaneously Prime -- The First Decimal of Some Sequences of Irrational Numbers -- Determinants with Alternative Entries -- Solving Some Cyclic Systems with the Fixed Point Theorem -- On a Property of Recurrent Affine Sequences -- An Extension to the Leibniz-Newton Formula -- How to Discover New Problems Using the Computer -- An Application of the Integral Mean -- Difference and Differential Equations.